Users of the city centre walk-in centre have until Tuesday to help decide its future.
Patients and carers who use King Street Walk-in Centre in Wakefield are being asked to fill in an online survey.
The centre could close at the end of May when a five-year contract with Local Care Direct to provide the service from 8am-8pm, seven days a week, ends.
The centre treats people who are not registered with a GP and provides care from doctors and nurses without an appointment.
More than 230 UK walk-in centres were opened to provide speedy appointments for people who found it hard to see their GP, research by the health regulator Monitor shows 53 closed in the last three years.
Bosses at NHS Wakefield Clinical Commissioning Group (CCG) said they were seeking an extension to the contract and were carrying out a consultation on the service.
King Street Health centre houses the walk-in service and a separate GP practice. To take part in the survey log on to www.wakefieldccg.nhs.uk